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8p3_846M

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Jul 4th, 2021
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  1. Fri Jul 2 09:05:52 2021
  2. Fri Jul 2 09:05:52 2021
  3. Fri Jul 2 09:05:52 2021 Msieve v. 1.54 (SVN 1040M)
  4. Fri Jul 2 09:05:52 2021 random seeds: 95775a1b 436fcddd
  5. Fri Jul 2 09:05:52 2021 factoring 14855540359065207850178315825630210843063076647128119946827956211293421481980143161299628962011497704797198642654988184359231295248011012127017410672480661536984662567830687959276205820509025765899663882576232071971767440698000048645962097549 (242 digits)
  6. Fri Jul 2 09:05:53 2021 searching for 15-digit factors
  7. Fri Jul 2 09:05:53 2021 commencing number field sieve (242-digit input)
  8. Fri Jul 2 09:05:53 2021 R0: -2787593149816327892718553598440002691535339
  9. Fri Jul 2 09:05:53 2021 R1: 111144648070857010370756789403648
  10. Fri Jul 2 09:05:53 2021 A0: 216
  11. Fri Jul 2 09:05:53 2021 A1: -648
  12. Fri Jul 2 09:05:53 2021 A2: 324
  13. Fri Jul 2 09:05:53 2021 A3: 36
  14. Fri Jul 2 09:05:53 2021 A4: -36
  15. Fri Jul 2 09:05:53 2021 A5: 0
  16. Fri Jul 2 09:05:53 2021 A6: 1
  17. Fri Jul 2 09:05:53 2021 skew 2.45, size 1.510e-12, alpha 1.403, combined = 1.525e-13 rroots = 6
  18. Fri Jul 2 09:05:53 2021
  19. Fri Jul 2 09:05:53 2021 commencing relation filtering
  20. Fri Jul 2 09:05:53 2021 setting target matrix density to 130.0
  21. Fri Jul 2 09:05:53 2021 estimated available RAM is 32768.0 MB
  22. Fri Jul 2 09:05:53 2021 commencing duplicate removal, pass 1
  23. Fri Jul 2 09:12:25 2021 error -15 reading relation 61310097
  24. Fri Jul 2 09:21:30 2021 error -11 reading relation 152297796
  25. Fri Jul 2 09:23:35 2021 error -11 reading relation 173014479
  26. Fri Jul 2 09:28:31 2021 error -15 reading relation 222330638
  27. Fri Jul 2 09:28:32 2021 skipped 199 relations with b > 2^32
  28. Fri Jul 2 09:28:32 2021 found 10773283 hash collisions in 222560256 relations
  29. Fri Jul 2 09:28:37 2021 added 2438533 free relations
  30. Fri Jul 2 09:28:37 2021 commencing duplicate removal, pass 2
  31. Fri Jul 2 09:38:01 2021 found 0 duplicates and 224998789 unique relations
  32. Fri Jul 2 09:38:01 2021 memory use: 756.8 MB
  33. Fri Jul 2 09:38:02 2021 reading ideals above 154992640
  34. Fri Jul 2 09:38:02 2021 commencing singleton removal, initial pass
  35. Fri Jul 2 09:54:43 2021 memory use: 5512.0 MB
  36. Fri Jul 2 09:54:44 2021 reading all ideals from disk
  37. Fri Jul 2 09:56:20 2021 memory use: 4063.9 MB
  38. Fri Jul 2 09:56:28 2021 commencing in-memory singleton removal
  39. Fri Jul 2 09:56:36 2021 begin with 224998789 relations and 169608510 unique ideals
  40. Fri Jul 2 09:57:50 2021 reduce to 172266988 relations and 113091387 ideals in 12 passes
  41. Fri Jul 2 09:57:50 2021 max relations containing the same ideal: 53
  42. Fri Jul 2 09:58:11 2021 reading ideals above 720000
  43. Fri Jul 2 09:58:11 2021 commencing singleton removal, initial pass
  44. Fri Jul 2 10:15:09 2021 memory use: 3012.0 MB
  45. Fri Jul 2 10:15:10 2021 reading all ideals from disk
  46. Fri Jul 2 10:17:56 2021 memory use: 7046.6 MB
  47. Fri Jul 2 10:18:12 2021 keeping 129623494 ideals with weight <= 200, target excess is 885327
  48. Fri Jul 2 10:18:28 2021 commencing in-memory singleton removal
  49. Fri Jul 2 10:18:40 2021 begin with 172266988 relations and 129623494 unique ideals
  50. Fri Jul 2 10:19:36 2021 reduce to 172266856 relations and 129623362 ideals in 5 passes
  51. Fri Jul 2 10:19:36 2021 max relations containing the same ideal: 200
  52. Fri Jul 2 10:20:38 2021 removing 9403540 relations and 7403540 ideals in 2000000 cliques
  53. Fri Jul 2 10:20:43 2021 commencing in-memory singleton removal
  54. Fri Jul 2 10:20:55 2021 begin with 162863316 relations and 129623362 unique ideals
  55. Fri Jul 2 10:22:11 2021 reduce to 162434011 relations and 121783745 ideals in 7 passes
  56. Fri Jul 2 10:22:11 2021 max relations containing the same ideal: 198
  57. Fri Jul 2 10:23:09 2021 removing 7294037 relations and 5294037 ideals in 2000000 cliques
  58. Fri Jul 2 10:23:14 2021 commencing in-memory singleton removal
  59. Fri Jul 2 10:23:25 2021 begin with 155139974 relations and 121783745 unique ideals
  60. Fri Jul 2 10:24:27 2021 reduce to 154849548 relations and 116195347 ideals in 6 passes
  61. Fri Jul 2 10:24:27 2021 max relations containing the same ideal: 195
  62. Fri Jul 2 10:25:22 2021 removing 6688151 relations and 4688151 ideals in 2000000 cliques
  63. Fri Jul 2 10:25:26 2021 commencing in-memory singleton removal
  64. Fri Jul 2 10:25:37 2021 begin with 148161397 relations and 116195347 unique ideals
  65. Fri Jul 2 10:26:34 2021 reduce to 147909628 relations and 111252176 ideals in 6 passes
  66. Fri Jul 2 10:26:35 2021 max relations containing the same ideal: 190
  67. Fri Jul 2 10:27:29 2021 removing 6373017 relations and 4373017 ideals in 2000000 cliques
  68. Fri Jul 2 10:27:33 2021 commencing in-memory singleton removal
  69. Fri Jul 2 10:27:43 2021 begin with 141536611 relations and 111252176 unique ideals
  70. Fri Jul 2 10:28:38 2021 reduce to 141304199 relations and 106643672 ideals in 6 passes
  71. Fri Jul 2 10:28:38 2021 max relations containing the same ideal: 185
  72. Fri Jul 2 10:29:30 2021 removing 6175062 relations and 4175062 ideals in 2000000 cliques
  73. Fri Jul 2 10:29:34 2021 commencing in-memory singleton removal
  74. Fri Jul 2 10:29:43 2021 begin with 135129137 relations and 106643672 unique ideals
  75. Fri Jul 2 10:30:36 2021 reduce to 134906641 relations and 102243054 ideals in 6 passes
  76. Fri Jul 2 10:30:36 2021 max relations containing the same ideal: 182
  77. Fri Jul 2 10:31:26 2021 removing 6040424 relations and 4040424 ideals in 2000000 cliques
  78. Fri Jul 2 10:31:29 2021 commencing in-memory singleton removal
  79. Fri Jul 2 10:31:39 2021 begin with 128866217 relations and 102243054 unique ideals
  80. Fri Jul 2 10:32:29 2021 reduce to 128648932 relations and 97982309 ideals in 6 passes
  81. Fri Jul 2 10:32:29 2021 max relations containing the same ideal: 179
  82. Fri Jul 2 10:33:16 2021 removing 5944979 relations and 3944979 ideals in 2000000 cliques
  83. Fri Jul 2 10:33:20 2021 commencing in-memory singleton removal
  84. Fri Jul 2 10:33:29 2021 begin with 122703953 relations and 97982309 unique ideals
  85. Fri Jul 2 10:34:16 2021 reduce to 122488173 relations and 93818381 ideals in 6 passes
  86. Fri Jul 2 10:34:16 2021 max relations containing the same ideal: 173
  87. Fri Jul 2 10:35:00 2021 removing 5874246 relations and 3874246 ideals in 2000000 cliques
  88. Fri Jul 2 10:35:04 2021 commencing in-memory singleton removal
  89. Fri Jul 2 10:35:12 2021 begin with 116613927 relations and 93818381 unique ideals
  90. Fri Jul 2 10:35:56 2021 reduce to 116397321 relations and 89724161 ideals in 6 passes
  91. Fri Jul 2 10:35:56 2021 max relations containing the same ideal: 167
  92. Fri Jul 2 10:36:40 2021 removing 5823925 relations and 3823925 ideals in 2000000 cliques
  93. Fri Jul 2 10:36:43 2021 commencing in-memory singleton removal
  94. Fri Jul 2 10:36:51 2021 begin with 110573396 relations and 89724161 unique ideals
  95. Fri Jul 2 10:37:34 2021 reduce to 110354338 relations and 85677664 ideals in 6 passes
  96. Fri Jul 2 10:37:34 2021 max relations containing the same ideal: 162
  97. Fri Jul 2 10:38:15 2021 removing 5784320 relations and 3784320 ideals in 2000000 cliques
  98. Fri Jul 2 10:38:19 2021 commencing in-memory singleton removal
  99. Fri Jul 2 10:38:26 2021 begin with 104570018 relations and 85677664 unique ideals
  100. Fri Jul 2 10:39:06 2021 reduce to 104345619 relations and 81665256 ideals in 6 passes
  101. Fri Jul 2 10:39:06 2021 max relations containing the same ideal: 156
  102. Fri Jul 2 10:39:46 2021 removing 5758028 relations and 3758028 ideals in 2000000 cliques
  103. Fri Jul 2 10:39:49 2021 commencing in-memory singleton removal
  104. Fri Jul 2 10:39:56 2021 begin with 98587591 relations and 81665256 unique ideals
  105. Fri Jul 2 10:40:33 2021 reduce to 98356128 relations and 77671717 ideals in 6 passes
  106. Fri Jul 2 10:40:33 2021 max relations containing the same ideal: 150
  107. Fri Jul 2 10:41:11 2021 removing 5746597 relations and 3746597 ideals in 2000000 cliques
  108. Fri Jul 2 10:41:14 2021 commencing in-memory singleton removal
  109. Fri Jul 2 10:41:20 2021 begin with 92609531 relations and 77671717 unique ideals
  110. Fri Jul 2 10:41:54 2021 reduce to 92367581 relations and 73678766 ideals in 6 passes
  111. Fri Jul 2 10:41:54 2021 max relations containing the same ideal: 141
  112. Fri Jul 2 10:42:30 2021 removing 5744816 relations and 3744816 ideals in 2000000 cliques
  113. Fri Jul 2 10:42:33 2021 commencing in-memory singleton removal
  114. Fri Jul 2 10:42:38 2021 begin with 86622765 relations and 73678766 unique ideals
  115. Fri Jul 2 10:43:11 2021 reduce to 86368594 relations and 69674837 ideals in 6 passes
  116. Fri Jul 2 10:43:11 2021 max relations containing the same ideal: 135
  117. Fri Jul 2 10:43:44 2021 removing 5750645 relations and 3750645 ideals in 2000000 cliques
  118. Fri Jul 2 10:43:47 2021 commencing in-memory singleton removal
  119. Fri Jul 2 10:43:52 2021 begin with 80617949 relations and 69674837 unique ideals
  120. Fri Jul 2 10:44:22 2021 reduce to 80347955 relations and 65648482 ideals in 6 passes
  121. Fri Jul 2 10:44:22 2021 max relations containing the same ideal: 128
  122. Fri Jul 2 10:44:53 2021 removing 5767912 relations and 3767912 ideals in 2000000 cliques
  123. Fri Jul 2 10:44:56 2021 commencing in-memory singleton removal
  124. Fri Jul 2 10:45:01 2021 begin with 74580043 relations and 65648482 unique ideals
  125. Fri Jul 2 10:45:28 2021 reduce to 74290233 relations and 61584219 ideals in 6 passes
  126. Fri Jul 2 10:45:28 2021 max relations containing the same ideal: 121
  127. Fri Jul 2 10:45:56 2021 removing 5796814 relations and 3796814 ideals in 2000000 cliques
  128. Fri Jul 2 10:45:59 2021 commencing in-memory singleton removal
  129. Fri Jul 2 10:46:03 2021 begin with 68493419 relations and 61584219 unique ideals
  130. Fri Jul 2 10:46:32 2021 reduce to 68177432 relations and 57463739 ideals in 7 passes
  131. Fri Jul 2 10:46:32 2021 max relations containing the same ideal: 115
  132. Fri Jul 2 10:46:59 2021 removing 5837887 relations and 3837887 ideals in 2000000 cliques
  133. Fri Jul 2 10:47:01 2021 commencing in-memory singleton removal
  134. Fri Jul 2 10:47:05 2021 begin with 62339545 relations and 57463739 unique ideals
  135. Fri Jul 2 10:47:39 2021 reduce to 61991069 relations and 53268262 ideals in 9 passes
  136. Fri Jul 2 10:47:39 2021 max relations containing the same ideal: 108
  137. Fri Jul 2 10:48:03 2021 removing 5890925 relations and 3890925 ideals in 2000000 cliques
  138. Fri Jul 2 10:48:06 2021 commencing in-memory singleton removal
  139. Fri Jul 2 10:48:09 2021 begin with 56100144 relations and 53268262 unique ideals
  140. Fri Jul 2 10:48:32 2021 reduce to 55710700 relations and 48977174 ideals in 7 passes
  141. Fri Jul 2 10:48:32 2021 max relations containing the same ideal: 101
  142. Fri Jul 2 10:48:55 2021 removing 5963274 relations and 3963274 ideals in 2000000 cliques
  143. Fri Jul 2 10:48:57 2021 commencing in-memory singleton removal
  144. Fri Jul 2 10:49:00 2021 begin with 49747426 relations and 48977174 unique ideals
  145. Fri Jul 2 10:49:21 2021 reduce to 49302813 relations and 44555649 ideals in 7 passes
  146. Fri Jul 2 10:49:21 2021 max relations containing the same ideal: 93
  147. Fri Jul 2 10:49:40 2021 removing 6051491 relations and 4051491 ideals in 2000000 cliques
  148. Fri Jul 2 10:49:46 2021 commencing in-memory singleton removal
  149. Fri Jul 2 10:49:49 2021 begin with 43251322 relations and 44555649 unique ideals
  150. Fri Jul 2 10:50:07 2021 reduce to 42729295 relations and 39963840 ideals in 7 passes
  151. Fri Jul 2 10:50:07 2021 max relations containing the same ideal: 84
  152. Fri Jul 2 10:50:25 2021 removing 5482189 relations and 3743714 ideals in 1738475 cliques
  153. Fri Jul 2 10:50:27 2021 commencing in-memory singleton removal
  154. Fri Jul 2 10:50:29 2021 begin with 37247106 relations and 39963840 unique ideals
  155. Fri Jul 2 10:50:46 2021 reduce to 36735087 relations and 35690030 ideals in 8 passes
  156. Fri Jul 2 10:50:46 2021 max relations containing the same ideal: 77
  157. Fri Jul 2 10:51:01 2021 removing 116832 relations and 98755 ideals in 18077 cliques
  158. Fri Jul 2 10:51:02 2021 commencing in-memory singleton removal
  159. Fri Jul 2 10:51:04 2021 begin with 36618255 relations and 35690030 unique ideals
  160. Fri Jul 2 10:51:13 2021 reduce to 36617992 relations and 35591012 ideals in 4 passes
  161. Fri Jul 2 10:51:13 2021 max relations containing the same ideal: 77
  162. Fri Jul 2 10:51:18 2021 relations with 0 large ideals: 67591
  163. Fri Jul 2 10:51:18 2021 relations with 1 large ideals: 11806
  164. Fri Jul 2 10:51:18 2021 relations with 2 large ideals: 144440
  165. Fri Jul 2 10:51:18 2021 relations with 3 large ideals: 945987
  166. Fri Jul 2 10:51:18 2021 relations with 4 large ideals: 3348949
  167. Fri Jul 2 10:51:18 2021 relations with 5 large ideals: 7117628
  168. Fri Jul 2 10:51:18 2021 relations with 6 large ideals: 9497421
  169. Fri Jul 2 10:51:18 2021 relations with 7+ large ideals: 15484170
  170. Fri Jul 2 10:51:18 2021 commencing 2-way merge
  171. Fri Jul 2 10:51:38 2021 reduce to 24885407 relation sets and 23858427 unique ideals
  172. Fri Jul 2 10:51:38 2021 commencing full merge
  173. Fri Jul 2 11:10:22 2021 memory use: 1108.5 MB
  174. Fri Jul 2 11:10:22 2021 found 90041 cycles, need 5376468
  175. Fri Jul 2 11:10:22 2021 too few cycles, matrix probably cannot build
  176. Fri Jul 2 11:10:22 2021 filtering wants 1000000 more relations
  177. Fri Jul 2 11:10:22 2021 elapsed time 02:04:30
  178. Fri Jul 2 13:21:25 2021
  179. Fri Jul 2 13:21:25 2021
  180. Fri Jul 2 13:21:25 2021 Msieve v. 1.54 (SVN 1040M)
  181. Fri Jul 2 13:21:25 2021 random seeds: 53753a35 1fb1d974
  182. Fri Jul 2 13:21:25 2021 factoring 14855540359065207850178315825630210843063076647128119946827956211293421481980143161299628962011497704797198642654988184359231295248011012127017410672480661536984662567830687959276205820509025765899663882576232071971767440698000048645962097549 (242 digits)
  183. Fri Jul 2 13:21:26 2021 searching for 15-digit factors
  184. Fri Jul 2 13:21:26 2021 commencing number field sieve (242-digit input)
  185. Fri Jul 2 13:21:26 2021 R0: -2787593149816327892718553598440002691535339
  186. Fri Jul 2 13:21:26 2021 R1: 111144648070857010370756789403648
  187. Fri Jul 2 13:21:26 2021 A0: 216
  188. Fri Jul 2 13:21:26 2021 A1: -648
  189. Fri Jul 2 13:21:26 2021 A2: 324
  190. Fri Jul 2 13:21:26 2021 A3: 36
  191. Fri Jul 2 13:21:26 2021 A4: -36
  192. Fri Jul 2 13:21:26 2021 A5: 0
  193. Fri Jul 2 13:21:26 2021 A6: 1
  194. Fri Jul 2 13:21:26 2021 skew 2.45, size 1.510e-12, alpha 1.403, combined = 1.525e-13 rroots = 6
  195. Fri Jul 2 13:21:26 2021
  196. Fri Jul 2 13:21:26 2021 commencing relation filtering
  197. Fri Jul 2 13:21:26 2021 setting target matrix density to 126.0
  198. Fri Jul 2 13:21:26 2021 estimated available RAM is 32768.0 MB
  199. Fri Jul 2 13:21:26 2021 commencing duplicate removal, pass 1
  200. Fri Jul 2 13:27:41 2021 error -15 reading relation 61310097
  201. Fri Jul 2 13:37:06 2021 error -11 reading relation 152297796
  202. Fri Jul 2 13:39:16 2021 error -11 reading relation 173014479
  203. Fri Jul 2 13:44:23 2021 error -15 reading relation 222330638
  204. Fri Jul 2 13:44:37 2021 skipped 203 relations with b > 2^32
  205. Fri Jul 2 13:44:37 2021 found 10955007 hash collisions in 224496034 relations
  206. Fri Jul 2 13:44:42 2021 added 2438533 free relations
  207. Fri Jul 2 13:44:43 2021 commencing duplicate removal, pass 2
  208. Fri Jul 2 13:54:09 2021 found 0 duplicates and 226934567 unique relations
  209. Fri Jul 2 13:54:09 2021 memory use: 756.8 MB
  210. Fri Jul 2 13:54:09 2021 reading ideals above 154992640
  211. Fri Jul 2 13:54:09 2021 commencing singleton removal, initial pass
  212. Fri Jul 2 14:12:06 2021 memory use: 5512.0 MB
  213. Fri Jul 2 14:12:06 2021 reading all ideals from disk
  214. Fri Jul 2 14:13:42 2021 memory use: 4099.8 MB
  215. Fri Jul 2 14:13:50 2021 commencing in-memory singleton removal
  216. Fri Jul 2 14:13:58 2021 begin with 226934567 relations and 169972040 unique ideals
  217. Fri Jul 2 14:15:17 2021 reduce to 174842581 relations and 114207508 ideals in 12 passes
  218. Fri Jul 2 14:15:17 2021 max relations containing the same ideal: 53
  219. Fri Jul 2 14:15:38 2021 reading ideals above 720000
  220. Fri Jul 2 14:15:39 2021 commencing singleton removal, initial pass
  221. Fri Jul 2 14:33:44 2021 memory use: 3012.0 MB
  222. Fri Jul 2 14:33:45 2021 reading all ideals from disk
  223. Fri Jul 2 14:36:32 2021 memory use: 7152.6 MB
  224. Fri Jul 2 14:36:48 2021 keeping 130725730 ideals with weight <= 200, target excess is 899213
  225. Fri Jul 2 14:37:05 2021 commencing in-memory singleton removal
  226. Fri Jul 2 14:37:18 2021 begin with 174842581 relations and 130725730 unique ideals
  227. Fri Jul 2 14:38:17 2021 reduce to 174842476 relations and 130725625 ideals in 5 passes
  228. Fri Jul 2 14:38:17 2021 max relations containing the same ideal: 200
  229. Fri Jul 2 14:39:23 2021 removing 9299757 relations and 7299757 ideals in 2000000 cliques
  230. Fri Jul 2 14:39:28 2021 commencing in-memory singleton removal
  231. Fri Jul 2 14:39:41 2021 begin with 165542719 relations and 130725625 unique ideals
  232. Fri Jul 2 14:41:00 2021 reduce to 165128090 relations and 123004773 ideals in 7 passes
  233. Fri Jul 2 14:41:00 2021 max relations containing the same ideal: 199
  234. Fri Jul 2 14:42:02 2021 removing 7220894 relations and 5220894 ideals in 2000000 cliques
  235. Fri Jul 2 14:42:07 2021 commencing in-memory singleton removal
  236. Fri Jul 2 14:42:19 2021 begin with 157907196 relations and 123004773 unique ideals
  237. Fri Jul 2 14:43:23 2021 reduce to 157627395 relations and 117500350 ideals in 6 passes
  238. Fri Jul 2 14:43:23 2021 max relations containing the same ideal: 195
  239. Fri Jul 2 14:44:23 2021 removing 6623307 relations and 4623307 ideals in 2000000 cliques
  240. Fri Jul 2 14:44:28 2021 commencing in-memory singleton removal
  241. Fri Jul 2 14:44:39 2021 begin with 151004088 relations and 117500350 unique ideals
  242. Fri Jul 2 14:45:51 2021 reduce to 150761366 relations and 112631228 ideals in 7 passes
  243. Fri Jul 2 14:45:51 2021 max relations containing the same ideal: 191
  244. Fri Jul 2 14:46:50 2021 removing 6314497 relations and 4314497 ideals in 2000000 cliques
  245. Fri Jul 2 14:46:55 2021 commencing in-memory singleton removal
  246. Fri Jul 2 14:47:06 2021 begin with 144446869 relations and 112631228 unique ideals
  247. Fri Jul 2 14:48:05 2021 reduce to 144222538 relations and 108089430 ideals in 6 passes
  248. Fri Jul 2 14:48:05 2021 max relations containing the same ideal: 186
  249. Fri Jul 2 14:49:02 2021 removing 6119691 relations and 4119691 ideals in 2000000 cliques
  250. Fri Jul 2 14:49:06 2021 commencing in-memory singleton removal
  251. Fri Jul 2 14:49:16 2021 begin with 138102847 relations and 108089430 unique ideals
  252. Fri Jul 2 14:50:13 2021 reduce to 137888951 relations and 103752914 ideals in 6 passes
  253. Fri Jul 2 14:50:13 2021 max relations containing the same ideal: 181
  254. Fri Jul 2 14:51:08 2021 removing 5986154 relations and 3986154 ideals in 2000000 cliques
  255. Fri Jul 2 14:51:12 2021 commencing in-memory singleton removal
  256. Fri Jul 2 14:51:22 2021 begin with 131902797 relations and 103752914 unique ideals
  257. Fri Jul 2 14:52:16 2021 reduce to 131695125 relations and 99556207 ideals in 6 passes
  258. Fri Jul 2 14:52:16 2021 max relations containing the same ideal: 175
  259. Fri Jul 2 14:53:09 2021 removing 5890494 relations and 3890494 ideals in 2000000 cliques
  260. Fri Jul 2 14:53:13 2021 commencing in-memory singleton removal
  261. Fri Jul 2 14:53:22 2021 begin with 125804631 relations and 99556207 unique ideals
  262. Fri Jul 2 14:54:14 2021 reduce to 125597596 relations and 95455651 ideals in 6 passes
  263. Fri Jul 2 14:54:14 2021 max relations containing the same ideal: 171
  264. Fri Jul 2 14:55:05 2021 removing 5818034 relations and 3818034 ideals in 2000000 cliques
  265. Fri Jul 2 14:55:09 2021 commencing in-memory singleton removal
  266. Fri Jul 2 14:55:17 2021 begin with 119779562 relations and 95455651 unique ideals
  267. Fri Jul 2 14:56:06 2021 reduce to 119572524 relations and 91427404 ideals in 6 passes
  268. Fri Jul 2 14:56:06 2021 max relations containing the same ideal: 166
  269. Fri Jul 2 14:56:54 2021 removing 5770236 relations and 3770236 ideals in 2000000 cliques
  270. Fri Jul 2 14:56:58 2021 commencing in-memory singleton removal
  271. Fri Jul 2 14:57:06 2021 begin with 113802288 relations and 91427404 unique ideals
  272. Fri Jul 2 14:57:52 2021 reduce to 113593355 relations and 87444921 ideals in 6 passes
  273. Fri Jul 2 14:57:52 2021 max relations containing the same ideal: 161
  274. Fri Jul 2 14:58:39 2021 removing 5728082 relations and 3728082 ideals in 2000000 cliques
  275. Fri Jul 2 14:58:43 2021 commencing in-memory singleton removal
  276. Fri Jul 2 14:58:50 2021 begin with 107865273 relations and 87444921 unique ideals
  277. Fri Jul 2 14:59:41 2021 reduce to 107652210 relations and 83500344 ideals in 7 passes
  278. Fri Jul 2 14:59:41 2021 max relations containing the same ideal: 155
  279. Fri Jul 2 15:00:25 2021 removing 5700373 relations and 3700373 ideals in 2000000 cliques
  280. Fri Jul 2 15:00:28 2021 commencing in-memory singleton removal
  281. Fri Jul 2 15:00:35 2021 begin with 101951837 relations and 83500344 unique ideals
  282. Fri Jul 2 15:01:09 2021 reduce to 101732328 relations and 79576598 ideals in 5 passes
  283. Fri Jul 2 15:01:09 2021 max relations containing the same ideal: 151
  284. Fri Jul 2 15:01:51 2021 removing 5686320 relations and 3686320 ideals in 2000000 cliques
  285. Fri Jul 2 15:01:54 2021 commencing in-memory singleton removal
  286. Fri Jul 2 15:02:01 2021 begin with 96046008 relations and 79576598 unique ideals
  287. Fri Jul 2 15:02:39 2021 reduce to 95817629 relations and 75657712 ideals in 6 passes
  288. Fri Jul 2 15:02:39 2021 max relations containing the same ideal: 144
  289. Fri Jul 2 15:03:18 2021 removing 5682752 relations and 3682752 ideals in 2000000 cliques
  290. Fri Jul 2 15:03:21 2021 commencing in-memory singleton removal
  291. Fri Jul 2 15:03:28 2021 begin with 90134877 relations and 75657712 unique ideals
  292. Fri Jul 2 15:04:03 2021 reduce to 89895492 relations and 71731160 ideals in 6 passes
  293. Fri Jul 2 15:04:03 2021 max relations containing the same ideal: 137
  294. Fri Jul 2 15:04:40 2021 removing 5682059 relations and 3682059 ideals in 2000000 cliques
  295. Fri Jul 2 15:04:43 2021 commencing in-memory singleton removal
  296. Fri Jul 2 15:04:48 2021 begin with 84213433 relations and 71731160 unique ideals
  297. Fri Jul 2 15:05:27 2021 reduce to 83960196 relations and 67790662 ideals in 7 passes
  298. Fri Jul 2 15:05:27 2021 max relations containing the same ideal: 129
  299. Fri Jul 2 15:06:02 2021 removing 5695973 relations and 3695973 ideals in 2000000 cliques
  300. Fri Jul 2 15:06:05 2021 commencing in-memory singleton removal
  301. Fri Jul 2 15:06:10 2021 begin with 78264223 relations and 67790662 unique ideals
  302. Fri Jul 2 15:06:45 2021 reduce to 77994874 relations and 63819499 ideals in 7 passes
  303. Fri Jul 2 15:06:45 2021 max relations containing the same ideal: 126
  304. Fri Jul 2 15:07:17 2021 removing 5720299 relations and 3720299 ideals in 2000000 cliques
  305. Fri Jul 2 15:07:20 2021 commencing in-memory singleton removal
  306. Fri Jul 2 15:07:25 2021 begin with 72274575 relations and 63819499 unique ideals
  307. Fri Jul 2 15:07:52 2021 reduce to 71983777 relations and 59801616 ideals in 6 passes
  308. Fri Jul 2 15:07:52 2021 max relations containing the same ideal: 120
  309. Fri Jul 2 15:08:23 2021 removing 5754284 relations and 3754284 ideals in 2000000 cliques
  310. Fri Jul 2 15:08:26 2021 commencing in-memory singleton removal
  311. Fri Jul 2 15:08:30 2021 begin with 66229493 relations and 59801616 unique ideals
  312. Fri Jul 2 15:08:55 2021 reduce to 65910254 relations and 55720334 ideals in 6 passes
  313. Fri Jul 2 15:08:55 2021 max relations containing the same ideal: 115
  314. Fri Jul 2 15:09:24 2021 removing 5797797 relations and 3797797 ideals in 2000000 cliques
  315. Fri Jul 2 15:09:27 2021 commencing in-memory singleton removal
  316. Fri Jul 2 15:09:31 2021 begin with 60112457 relations and 55720334 unique ideals
  317. Fri Jul 2 15:09:53 2021 reduce to 59760263 relations and 51561059 ideals in 6 passes
  318. Fri Jul 2 15:09:53 2021 max relations containing the same ideal: 108
  319. Fri Jul 2 15:10:19 2021 removing 5860671 relations and 3860671 ideals in 2000000 cliques
  320. Fri Jul 2 15:10:22 2021 commencing in-memory singleton removal
  321. Fri Jul 2 15:10:26 2021 begin with 53899592 relations and 51561059 unique ideals
  322. Fri Jul 2 15:10:46 2021 reduce to 53501891 relations and 47291202 ideals in 6 passes
  323. Fri Jul 2 15:10:46 2021 max relations containing the same ideal: 97
  324. Fri Jul 2 15:11:09 2021 removing 5936456 relations and 3936456 ideals in 2000000 cliques
  325. Fri Jul 2 15:11:12 2021 commencing in-memory singleton removal
  326. Fri Jul 2 15:11:15 2021 begin with 47565435 relations and 47291202 unique ideals
  327. Fri Jul 2 15:11:35 2021 reduce to 47108649 relations and 42883225 ideals in 7 passes
  328. Fri Jul 2 15:11:35 2021 max relations containing the same ideal: 89
  329. Fri Jul 2 15:11:56 2021 removing 6030295 relations and 4030295 ideals in 2000000 cliques
  330. Fri Jul 2 15:11:58 2021 commencing in-memory singleton removal
  331. Fri Jul 2 15:12:01 2021 begin with 41078354 relations and 42883225 unique ideals
  332. Fri Jul 2 15:12:18 2021 reduce to 40536739 relations and 38291826 ideals in 7 passes
  333. Fri Jul 2 15:12:18 2021 max relations containing the same ideal: 79
  334. Fri Jul 2 15:12:36 2021 removing 4034758 relations and 2832933 ideals in 1201825 cliques
  335. Fri Jul 2 15:12:38 2021 commencing in-memory singleton removal
  336. Fri Jul 2 15:12:40 2021 begin with 36501981 relations and 38291826 unique ideals
  337. Fri Jul 2 15:12:57 2021 reduce to 36198963 relations and 35147852 ideals in 8 passes
  338. Fri Jul 2 15:12:57 2021 max relations containing the same ideal: 72
  339. Fri Jul 2 15:13:13 2021 removing 53340 relations and 45317 ideals in 8023 cliques
  340. Fri Jul 2 15:13:14 2021 commencing in-memory singleton removal
  341. Fri Jul 2 15:13:16 2021 begin with 36145623 relations and 35147852 unique ideals
  342. Fri Jul 2 15:13:24 2021 reduce to 36145566 relations and 35102477 ideals in 4 passes
  343. Fri Jul 2 15:13:24 2021 max relations containing the same ideal: 72
  344. Fri Jul 2 15:13:29 2021 relations with 0 large ideals: 68665
  345. Fri Jul 2 15:13:29 2021 relations with 1 large ideals: 12287
  346. Fri Jul 2 15:13:29 2021 relations with 2 large ideals: 150846
  347. Fri Jul 2 15:13:29 2021 relations with 3 large ideals: 974448
  348. Fri Jul 2 15:13:29 2021 relations with 4 large ideals: 3404772
  349. Fri Jul 2 15:13:29 2021 relations with 5 large ideals: 7141109
  350. Fri Jul 2 15:13:29 2021 relations with 6 large ideals: 9397442
  351. Fri Jul 2 15:13:29 2021 relations with 7+ large ideals: 14995997
  352. Fri Jul 2 15:13:29 2021 commencing 2-way merge
  353. Fri Jul 2 15:13:51 2021 reduce to 24617062 relation sets and 23573973 unique ideals
  354. Fri Jul 2 15:13:51 2021 commencing full merge
  355. Fri Jul 2 15:24:58 2021 memory use: 3382.3 MB
  356. Fri Jul 2 15:25:04 2021 found 11070834 cycles, need 11060173
  357. Fri Jul 2 15:25:04 2021 weight of 11060173 cycles is about 1393670358 (126.01/cycle)
  358. Fri Jul 2 15:25:04 2021 distribution of cycle lengths:
  359. Fri Jul 2 15:25:04 2021 1 relations: 410641
  360. Fri Jul 2 15:25:04 2021 2 relations: 592582
  361. Fri Jul 2 15:25:04 2021 3 relations: 713017
  362. Fri Jul 2 15:25:04 2021 4 relations: 752224
  363. Fri Jul 2 15:25:04 2021 5 relations: 778830
  364. Fri Jul 2 15:25:04 2021 6 relations: 782351
  365. Fri Jul 2 15:25:04 2021 7 relations: 775724
  366. Fri Jul 2 15:25:04 2021 8 relations: 752595
  367. Fri Jul 2 15:25:04 2021 9 relations: 713757
  368. Fri Jul 2 15:25:04 2021 10+ relations: 4788452
  369. Fri Jul 2 15:25:04 2021 heaviest cycle: 28 relations
  370. Fri Jul 2 15:25:10 2021 commencing cycle optimization
  371. Fri Jul 2 15:25:37 2021 start with 103931996 relations
  372. Fri Jul 2 15:30:49 2021 pruned 5602342 relations
  373. Fri Jul 2 15:30:49 2021 memory use: 2572.9 MB
  374. Fri Jul 2 15:30:49 2021 distribution of cycle lengths:
  375. Fri Jul 2 15:30:49 2021 1 relations: 410641
  376. Fri Jul 2 15:30:49 2021 2 relations: 606221
  377. Fri Jul 2 15:30:49 2021 3 relations: 742343
  378. Fri Jul 2 15:30:49 2021 4 relations: 785658
  379. Fri Jul 2 15:30:49 2021 5 relations: 822334
  380. Fri Jul 2 15:30:49 2021 6 relations: 826692
  381. Fri Jul 2 15:30:49 2021 7 relations: 825417
  382. Fri Jul 2 15:30:50 2021 8 relations: 797700
  383. Fri Jul 2 15:30:50 2021 9 relations: 758637
  384. Fri Jul 2 15:30:50 2021 10+ relations: 4484530
  385. Fri Jul 2 15:30:50 2021 heaviest cycle: 28 relations
  386. Fri Jul 2 15:31:27 2021 RelProcTime: 7801
  387. Fri Jul 2 15:31:27 2021
  388. Fri Jul 2 15:31:27 2021 commencing linear algebra
  389. Fri Jul 2 15:31:29 2021 read 11060173 cycles
  390. Fri Jul 2 15:31:55 2021 cycles contain 35658179 unique relations
  391. Fri Jul 2 15:41:29 2021 read 35658179 relations
  392. Fri Jul 2 15:43:15 2021 using 20 quadratic characters above 4294917295
  393. Fri Jul 2 15:45:28 2021 building initial matrix
  394. Fri Jul 2 15:52:13 2021 memory use: 4778.5 MB
  395. Fri Jul 2 15:54:27 2021 read 11060173 cycles
  396. Fri Jul 2 15:54:28 2021 matrix is 11059996 x 11060173 (5388.3 MB) with weight 1534522021 (138.74/col)
  397. Fri Jul 2 15:54:28 2021 sparse part has weight 1290851519 (116.71/col)
  398. Fri Jul 2 15:56:28 2021 filtering completed in 2 passes
  399. Fri Jul 2 15:56:29 2021 matrix is 11059920 x 11060097 (5388.3 MB) with weight 1534519639 (138.74/col)
  400. Fri Jul 2 15:56:29 2021 sparse part has weight 1290850851 (116.71/col)
  401. Fri Jul 2 15:59:05 2021 matrix starts at (0, 0)
  402. Fri Jul 2 15:59:06 2021 matrix is 11059920 x 11060097 (5388.3 MB) with weight 1534519639 (138.74/col)
  403. Fri Jul 2 15:59:06 2021 sparse part has weight 1290850851 (116.71/col)
  404. Fri Jul 2 15:59:06 2021 saving the first 48 matrix rows for later
  405. Fri Jul 2 15:59:07 2021 matrix includes 64 packed rows
  406. Fri Jul 2 15:59:08 2021 matrix is 11059872 x 11060097 (5162.7 MB) with weight 1325829224 (119.88/col)
  407. Fri Jul 2 15:59:08 2021 sparse part has weight 1242759167 (112.36/col)
  408. Fri Jul 2 15:59:08 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  409. Fri Jul 2 15:59:48 2021 commencing Lanczos iteration (16 threads)
  410. Fri Jul 2 15:59:48 2021 memory use: 4950.4 MB
  411. Fri Jul 2 16:00:02 2021 linear algebra at 0.0%, ETA 26h18m
  412. Fri Jul 2 16:00:06 2021 checkpointing every 430000 dimensions
  413. Sat Jul 3 17:33:39 2021 lanczos halted after 174904 iterations (dim = 11059870)
  414. Sat Jul 3 17:33:48 2021 recovered 33 nontrivial dependencies
  415. Sat Jul 3 17:33:52 2021 BLanczosTime: 93745
  416. Sat Jul 3 17:33:52 2021
  417. Sat Jul 3 17:33:52 2021 commencing square root phase
  418. Sat Jul 3 17:33:52 2021 handling dependencies 1 to 64
  419. Sat Jul 3 17:33:52 2021 reading relations for dependency 1
  420. Sat Jul 3 17:34:02 2021 read 5532459 cycles
  421. Sat Jul 3 17:34:14 2021 cycles contain 17832740 unique relations
  422. Sat Jul 3 17:43:53 2021 read 17832740 relations
  423. Sat Jul 3 17:45:05 2021 multiplying 17832740 relations
  424. Sat Jul 3 17:53:53 2021 multiply complete, coefficients have about 475.37 million bits
  425. Sat Jul 3 17:53:55 2021 initial square root is modulo 338606057
  426. Sat Jul 3 18:03:20 2021 sqrtTime: 1768
  427. Sat Jul 3 18:03:20 2021 p116 factor: 98880975695090219597943319438209646049906218765931369611604267657612189452032332629236575446980772632081994457192101
  428. Sat Jul 3 18:03:20 2021 p126 factor: 150236587519866437799068252334970839805054295440481666921937566644004335639955730030243881797931513262805466787094419234024649
  429. Sat Jul 3 18:03:20 2021 elapsed time 28:41:55
  430.  
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